Fractal boundary of domain of analyticity of the Feigenbaum function and relation to the Mandelbrot set

DOI10.1007/BF01007520zbMath0699.58052MaRDI QIDQ913345

Michael Nauenberg

Publication date: 1987

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

Mandelbrot setFeigenbaum function

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Cites Work

• Unnamed Item
• On the existence of Feigenbaum's fixed point
• Analyticity properties of the Feigenbaum function
• Quantitative universality for a class of nonlinear transformations
• Universal properties for sequences of bifurcations of period three
• The unstable separatrix of Feigenbaum's fixed-point
• A computer-assisted proof of the Feigenbaum conjectures
• Feigenbaum universality and the thermodynamic formalism

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